precalc-worksheet-ans

# Precalc-worksheet-an - -14 ≤ y ≤ 1 3 p< ∪ p> 16 4-5 ≤ x ≤ 5 Exponents Simplify Assume that all variables represent positive num-bers

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Pre-calculus review worksheet ANSWERS A list of basic arithmetic operations, laws of exponents, fac- torization rules etc. is on the inside of the cover of the the textbook. Linear functions. 1. Find an equation of the line through (3 ) parallel to the line y = 10 y = π 2. Find an equation of the line passing through ( - 1 , 2) and ( - 5 , 4) y = - x 2 + 3 2 Polynomials. Perform the indicated operations 1. 9 25 x 2 - 1 2. 9 a 2 + 6 ab + b 2 3. x 3 - 6 x 2 y + 12 xy 2 - 8 y 3 Factoring. Factor each of the following polynomials: 1. 2 ( z - 1 2 ) ( z + 1) 2. ( a - 5 b )( a - b ) 3. (11 a - 10)(11 a + 10) 4. (2 r - 3 s )(4 r 2 + 6 rs + 9 s 2 ) Rational expressions (review long division!) Write each rational expression in lowest terms 1. 2 x +4 x ( = 2 + 4 x ) 2. 1 - 2 a +2 3. y - 1 + 3 - y y 2 + y +2 Equations. Solve each equation 1. p = - 10 / 19 2. any b except 0 and -2 3. x = - 2 (one solution!) Inequalities. Solve each inequality 1. { x < - 2 . 1 } ∪ { x > 1 . 9 } 2.
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Unformatted text preview: -14 ≤ y ≤ 1 3. { p < } ∪ { p > 16 } 4.-5 ≤ x ≤ 5 Exponents. Simplify. Assume that all variables represent positive num-bers. Write answers using only positive exponents. 1. y 3 2. b a 3 Simplify and write the answer as a single fraction without negative exponents. Assume all variables represent nonzero numbers and x 6 = y : 1. a + b ab 2. | xy | √ y 2-x 2 Write each number without exponents 1. 25 2. 1000 1331 Radicals. Simplify each expression by removing as many fac-tors as possible from under the radical. 1. 4 y 2 √ 2 y 2. p 2 ( pq-q 4 + p 2 ) √ pq Rationalize each denominator 1. y ( √ y + √ 5) y-5 2. p 2 + p p 4-1...
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## This note was uploaded on 11/30/2010 for the course BIOS 101 taught by Professor Plantz during the Spring '08 term at UNL.

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